256 citations · 779 across the 26 of their papers we have counts for
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cond-mat.stat-mech2009★ 32 cited
Ground states and formal duality relations in the Gaussian core model
Henry Cohn, Abhinav Kumar, Achill Schuermann
We study dimensional trends in ground states for soft-matter systems. Specifically, using a high-dimensional version of Parrinello-Rahman dynamics, we investigate the behavior of t…
cond-mat.stat-mech2009★ 72 cited
Algorithmic design of self-assembling structures
Henry Cohn, Abhinav Kumar
We study inverse statistical mechanics: how can one design a potential function so as to produce a specified ground state? In this paper, we show that unexpectedly simple potential…
cond-mat.stat-mech2008★ 18 cited
Counterintuitive ground states in soft-core models
Henry Cohn, Abhinav Kumar
It is well known that statistical mechanics systems exhibit subtle behavior in high dimensions. In this paper, we show that certain natural soft-core models, such as the Gaussian c…